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Finding the Fourth Proportional to 469,910.22, 648,321.75 and 265,940.88

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Solution

The fourth proportional to 469,910.22, 648,321.75 and 265,940.88 is: 366,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,910.22 : 648,321.75 = 265,940.88 : x
  2. Step 2: Convert to fraction form
    469,910.22/648,321.75 = 265,940.88/x
  3. Step 3: Cross multiply
    469,910.22x = 648,321.75 × 265,940.88
  4. Step 4: Simplify right side
    469,910.22x = 172,415,256,718.14
  5. Step 5: Solve for x
    x = 172,415,256,718.14/469,910.22
  6. Step 6: Final answer
    x = 366,911.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.